논문KCI 등재
The automorphism groups of Artin groups of edge-separated CLTTF graphs
대한수학회 (The Korean Mathematical Society)|2023.11|대한수학회지 (Journal of the KMS)|제60권 제6호|pp. 1171-1213|DOI 10.4134/JKMS.j220343
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초록
This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected, large-type, and triangle-free. More precisely, we provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group whose defining graph has no separating vertices.
Abstract
This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected, large-type, and triangle-free. More precisely, we provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group whose defining graph has no separating vertices.
참고문헌 (6)
- N. Brady, "Rigidity of Coxeter groups and Artin groups", Geom. Dedicata, 94, pp.91~109 (2002)[DOI]
- J. Crisp, "Automorphisms and abstract commensurators of 2-dimensional Artin groups", Geom. Topol, 9, pp.1381~1441 (2005)[DOI]
- M. B. Day, "Peak reduction and finite presentations for automorphism groups of rightangled Artin groups", Geom. Topol, 13(2), pp.817~855 (2009)[DOI]
- M. B. Day, "Full-featured peak reduction in right-angled Artin groups", Algebr. Geom. Topol, 14(3), pp.1677~1743 (2014)[DOI]
- C. Droms, "Isomorphisms of graph groups", Proc. Amer. Math. Soc, 100(3), pp.407~408 (1987)[DOI]
- E. Godelle, "Parabolic subgroups of Artin groups of type FC", Pacific J. Math, 208(2), pp.243~254 (2003)[DOI]
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